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Finding the Fourth Proportional to 228,233.60, 342,058.80 and 165,831.20

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Solution

The fourth proportional to 228,233.60, 342,058.80 and 165,831.20 is: 248,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,233.60 : 342,058.80 = 165,831.20 : x
  2. Step 2: Convert to fraction form
    228,233.60/342,058.80 = 165,831.20/x
  3. Step 3: Cross multiply
    228,233.60x = 342,058.80 × 165,831.20
  4. Step 4: Simplify right side
    228,233.60x = 56,724,021,274.56
  5. Step 5: Solve for x
    x = 56,724,021,274.56/228,233.60
  6. Step 6: Final answer
    x = 248,534.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.